Stir together first 5 ingredients in a large bowl; add eggs, and let stand 1 hour. Remove and drain on paper towels. Peel eggs to reveal pattern on whites.
Cut eggs in half lengthwise; carefully remove yolks. Mash yolks; stir in potato flakes and next 5 ingredients until blended.
Spoon the yolk mixture evenly into egg white halves. Attach 2 halves, gently pressing together stuffed sides.